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Finding the Third Proportional to 28,397 and 61,767

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Solution

The third proportional to 28,397 and 61,767 is: 134,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,397 : 61,767 = 61,767 : x
  2. Step 2: Convert to fraction form
    28,397/61,767 = 61,767/x
  3. Step 3: Cross multiply
    28,397x = 61,767 × 61,767
  4. Step 4: Simplify right side
    28,397x = 3,815,162,289
  5. Step 5: Solve for x
    x = 3,815,162,289/28,397
  6. Step 6: Final answer
    x = 134,350.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.